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2 years ago

The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?

Mathematics

1 answer:

kirill115 [55]2 years ago

4 0

Answer:

1:4

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

28/4 = 4

1:4

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Which number line shows the solutions to 1/2 x -2 > 0

Mkey [24]

Answer:

The top choice

Step-by-step explanation:

1/2 x -2 > 0

Add 2 to each side

1/2 x -2+2 > 0+2

1/2 x > 2

Multiply each side by 2

1/2 x *2 > 2*2

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Step-by-step explanation:

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3 years ago

What are the solutions to x2 + 8x + 7 = 0? A. x = –8 and x = –7 B. x = –7 and x = –1 C. x = 1 and x = 7 D. x = 7 and x = 8

NikAS [45]

Answer:

x= -7 x = -1

Step-by-step explanation:

x^2 + 8x + 7 = 0

Factor

What 2 numbers multiply to 7 and add to 8

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What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

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